25m^2-24m-61=-4m-1

Solution for 25m^2-24m-61=-4m-1 equation:

Simplifying
25m2 + -24m + -61 = -4m + -1

Reorder the terms:
-61 + -24m + 25m2 = -4m + -1

Reorder the terms:
-61 + -24m + 25m2 = -1 + -4m

Solving
-61 + -24m + 25m2 = -1 + -4m

Solving for variable 'm'.

Reorder the terms:
-61 + 1 + -24m + 4m + 25m2 = -1 + -4m + 1 + 4m

Combine like terms: -61 + 1 = -60
-60 + -24m + 4m + 25m2 = -1 + -4m + 1 + 4m

Combine like terms: -24m + 4m = -20m
-60 + -20m + 25m2 = -1 + -4m + 1 + 4m

Reorder the terms:
-60 + -20m + 25m2 = -1 + 1 + -4m + 4m

Combine like terms: -1 + 1 = 0
-60 + -20m + 25m2 = 0 + -4m + 4m
-60 + -20m + 25m2 = -4m + 4m

Combine like terms: -4m + 4m = 0
-60 + -20m + 25m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -4m + 5m2) = 0

Factor a trinomial.
5((-6 + -5m)(2 + -1m)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -5m)' equal to zero and attempt to solve:

Simplifying
-6 + -5m = 0

Solving
-6 + -5m = 0

Move all terms containing m to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -5m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5m = 0 + 6
-5m = 0 + 6

Combine like terms: 0 + 6 = 6
-5m = 6

Divide each side by '-5'.
m = -1.2

Simplifying
m = -1.2
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-1.2, 2}